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This paper is concerned with diffusive approximations of peculiar numerical schemes for several linear (or weakly nonlinear) kinetic models which are motivated by wide-range applications, including radiative transfer or neutron transport,…

Analysis of PDEs · Mathematics 2018-06-21 Laurent Gosse , Nicolas Vauchelet

Self-assembly of nanoparticles is an important tool in nanotechnology, with numerous applications including thin films, electronics, and drug delivery. We study the deposition of ionic nanoparticles on a glass substrate both experimentally…

Statistical Mechanics · Physics 2014-07-09 L. Jonathan Cook , D. A. Mazilu , I. Mazilu , B. M. Simpson , E. M. Schwen , V. O. Kim , A. M. Seredinski

While numerous models exist which explain certain aspects of irradiation-induced nanopatterning on semiconductors, a comprehensive theoretical explanation has remained elusive. However, it is increasingly apparent that such a model will…

Mesoscale and Nanoscale Physics · Physics 2026-05-21 Tyler P. Evans , Scott A. Norris

Diffusion models benefit from instillation of task-specific information into the score function to steer the sample generation towards desired properties. Such information is coined as guidance. For example, in text-to-image synthesis, text…

Machine Learning · Computer Science 2024-03-05 Yuchen Wu , Minshuo Chen , Zihao Li , Mengdi Wang , Yuting Wei

Large-scale molecular dynamics simulations are used to simulate a layer of nanoparticles diffusing on the surface of a liquid. Both a low viscosity liquid, represented by Lennard-Jones monomers, and a high viscosity liquid, represented by…

Soft Condensed Matter · Physics 2013-01-10 Shengfeng Cheng , Gary S. Grest

We study the self-organized ordering of nanostructures produced by ion-beam sputtering (IBS) of targets amorphizing under irradiation. By introducing a model akin to models of pattern formation in aeolian sand dunes, we extend consistently…

Statistical Mechanics · Physics 2016-08-31 Mario Castro , Rodolfo Cuerno , Luiz Vazquez , Raul Gago

This article presents a numerical simulation of solvent diffusion in transition metal dichalcogenide based nanomaterials during solvothermal reaction, leading to layer exfoliation and, consequently, a reduction in the average nanoparticle…

Materials Science · Physics 2026-04-14 Geetika Sahu

Turing patterns are fundamental in biophysics, emerging from short-range activation and long-range inhibition processes. However, their paradigm is based on diffusive transport processes, which yields Turing patters that are less sharp than…

Soft Condensed Matter · Physics 2023-11-13 Benjamin M. Alessio , Ankur Gupta

Laterally periodic nanostructures were investigated with grazing incidence small angle X-ray scattering. To support an improved reconstruction of nanostructured surface geometries, we investigated the origin of the contributions to the…

Mesoscale and Nanoscale Physics · Physics 2016-07-21 Victor Soltwisch , Anton Haase , Jan Wernecke , Juergen Probst , Max Schoengen , Sven Burger , Michael Krumrey , Frank Scholze

To simulate the transient enhanced diffusion near the surface or interface, a set of equations describing the impurity diffusion and quasichemical reactions of dopant atoms and point defects in ion-implanted layers is proposed and analyzed.…

Materials Science · Physics 2007-05-23 O. I. Velichko , Yu. P. Shaman , A. K. Fedotov , A. V. Masanik

The inverse design of metasurfaces faces inherent challenges due to the nonlinear and highly complex relationship between geometric configurations and their electromagnetic behavior. Traditional optimization approaches often suffer from…

We present a robust approach to incorporating models for the time-variable broadening of the pulse profile due to scattering in the ionized interstellar medium into profile-domain pulsar timing analysis. We use this approach to…

Instrumentation and Methods for Astrophysics · Physics 2017-04-12 L. Lentati , M. Kerr , S. Dai , R. M. Shannon , G. Hobbs , S. Oslowski

Various metallic structures of complex shape, resembling natural objects such as plants, mushrooms, and seashells, were produced when growing nanowires by means of pulsed current electroplating in porous membranes. These structures occur as…

Materials Science · Physics 2013-08-05 Gennady Strukov , Galina Strukova

We study ion condensation onto a patterned surface of alternating charges. The competition between self-energy and ion-surface interactions leads to the formation of ionic crystalline structures at low temperatures. We consider different…

Statistical Mechanics · Physics 2009-11-13 Yuri S. Velichko , Francisco J. Solis , Sharon M. Loverde , Monica Olvera de la Cruz

We present a large-scale molecular dynamics study of nematic-paranematic interfaces under shear. We use a model of soft repulsive ellipsoidal particles with well-known equilibrium properties, and consider interfaces which are oriented…

Soft Condensed Matter · Physics 2013-03-19 Guido Germano , Friederike Schmid

We consider the spreading of a thin two-dimensional droplet on a planar substrate as a prototype system to compare the contemporary model for contact line motion based on interface formation of Shikhmurzaev [Int. J. Multiphas. Flow 19, 589…

Fluid Dynamics · Physics 2012-08-17 David N. Sibley , Nikos Savva , Serafim Kalliadasis

The formation process of core-shell bimetallic nanoparticles synthesized by sputtering onto a substrate is observed in real time using an originally developed acoustic technique. The technique enables us to evaluate the structural change of…

Applied Physics · Physics 2022-03-04 Nobutomo Nakamura , Koji Matsuura , Akio Ishii , Hirotsugu Ogi

Shear-induced droplet formation is important in many industrial applications, primarily focusing on droplet sizes and pinch-off frequency. We propose a one-dimensional mathematical model that describes the effect of shear forces on the…

Fluid Dynamics · Physics 2024-05-30 Darsh Nathawani , Matthew Knepley

We present a conditional diffusion model for electromagnetic inverse design that generates structured media geometries directly from target differential scattering cross-section profiles, bypassing expensive iterative optimization. Our 1D…

Machine Learning · Computer Science 2025-11-10 Mikhail Tsukerman , Konstantin Grotov , Pavel Ginzburg

An ion beam based dry etching method has been developed for progressive reduction of dimensions of prefabricated nanostructures. The method has been successfully applied to aluminum nanowires and aluminum single electron transistors (SET).…

Superconductivity · Physics 2009-04-07 M. Savolainen , V. Touboltsev , P. Koppinen , K. -P. Riikonen , K. Arutyunov